Is it possible for an object moving with a constant speed to accelerate? kaykyqn w) 8ja6aqolt4q ,5n4oo51op94 +z dl Explain,q4wony4p)5y o qka4 1dnt96la 5a+z 8okl oqj.

  Consider a particle movindy:eehsn:u xu/qv5w g *)(4cig with constant speed such that its acceleration of constant magndwn)h* 4(q e /:5ugxiucsvy:e itude is always perpendicular to its velocity.

  An object moves in a circula f3k2hy*ayll 8r path at a constant speed. Compare the direction of the object's veloc lay3l*h8f2 ykity and acceleration vectors.

  When an object experiences uniform circular motion, the dvz2ywyd n8/ o+irection of the accele y+vdoz28wn y/ration is

  Consider a particle moving win o5ybj x)*uxwr*9c k27hwg7x z-kq2cth constant speed such that its acceleration of constant magnitude is always perpb*nwxr w)ckx2z- 7oghxjc q72 y59*kuendicular to its velocity.

  What type of acceleration does an object moving with constant vqc1pgeg2o *,z tt vs o.j).k2speed in a circula .te 2gqzop*)jt,v2 .c1k gsovr path experience?

  What force is needed to mvv0gx 8sksx)eq 9 e*h:ake an object move in a circle?

  When an object exper)xg2j7sqc( t ojk neo(b+ic d-e8j1 j8iences uniform circular motion, the direction of the net force isc(onsb ktej -7oj(+ecj) j8qg2xd i81

  A roller coaster car is on a track that formsr5g ldir.n9eb) ( fdsh9 -lpk2 a circular loop in the vertical plane. If the car is to jusrg)e d.npr(2kslf 59l bh9i-d t maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?

  A roller coaster car (mass = M) is on a track that forms aorv:9fxq* er8 3r7vww circular loop (radius = r) in the vertical plane. If the car is to just maintain contact with the track at the top of the loop, what is the minimum value for its speev8*xr v7 9fe r:owqr3wd at that point?

  A pilot executes a vertical dive then follw.hyy pyjs)2 1- r,vzpows a semi-circular arc until it is going straight up. Just as the plane is at its lowest poi)2zp1,ywr hpv. - yjsynt, the force on him is

  A coin of mass $m$ rests on a turntable a distance $r$ from the axis of rotation. The turntable rotates with a frequency of $f$. What is the minimum coefficient of static friction between the turntable and the coin if the coin is not to slip?

  A car goes around a curve 6+ ms evhe6jvj 7cl i6wi42c :6xyd-ve1is ,hbof radius $r$ at a constant speed $v$. What is the direction of the net force on the car?

  A car goes around a curve of radius r at a constant speed v. Then it9ugunjkv g.(,j o s9e* goes around the same curve at half of the original speed. What is the centripetal f ,9jg*keu.gsu(o j9vnorce on the car as it goes around the curve for the second time, compared to the first time?

  A car goes around a curve of radius r at a constant speed d7bk;kce0 s7fp /pu z4pln3r9v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal force on the car as it goes around the07k;crlk defns7ppp9b/ 4u z3 second curve, compared to the first?

  A car of mass m goes around a banked curve of radius r with speed v. If th9wo*/y h h5ygwe road is frictionless due to ice, the cary o/*hh5g9w yw can still negotiate the curve if the horizontal component of the normal force on the car from the road is equal in magnitude to

  Two horizontal curves on v.*u0q /da z(vbltfws (gz62m a bobsled run are banked at the same angle, but one has twice the radius of the other. The safe speed (no friction needed to stay on the run) for the smaller radius curve is v. What is the safe speed on ts v autvqw.(g02*b zfmz/ (6ldhe larger radius curve?

  The banking angle in a turn on the Olympic bobsled track is not constant, bu :u1 vrvsciba2ulq* 8fum1y :1t increases upward from tv u 1u1rm2l*1iuv a:c qsby:8fhe horizontal. Coming around a turn, the bobsled team will intentionally "climb the wall," then go lower coming out of the turn. Why do they do this?

  Is it possible for an object moving around a circular pmy1:ga-is cp;e9zyrc1fl: x5rr; cv8 ath to have both centripetal and tangential accr8 xyf l- rzi5;m1rvse: 1;9ypcc cg:aeleration?

  The gravitational force betwee;/8s cgp huzs9ekq3w 7n two objects is proportional to

  The gravitational force between two objects is inverselynex-7m7nft a 0 proportional to

  Two objects attract each other gravitationally. I:-7xn8qj 0bf0k bp:gz looe5cf the distance between their centers is cut in half, theq zxkb lofj-b00cpoe7n 5::8g gravitational force

  Two objects, with mas hfb5e+-imi za,ve1i ;ses $m_{1}$ and $m_{2}$, are originally a distance r apart. The gravitational force between them has magnitude F. The second object has its mass changed to 2$m_{2}$, and the distance is changed to r/4. What is the magnitude of the new gravitational force?

  Two objects, with masfxdw ( t4i8nc1k2jg0qses $m_{1}$ and $m_{2}$, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2$m_{1}$ and 2$m_{2}$, and the distance is changed to 4r. What is the magnitude of the new gravitational force?

State Newton's law of univkb/r5 cjb;g3 qersal gravitation.

  Compared to its mass on the Earth, the mass of an object on the Moonm 2 dkte5mdan0c*m.w0 is

  The acceleration of gravity on the Moon is one-sixth what it is on Earth. Anxqio y ;t . j.9wiy9e29jwzm7g object of m.ejz;ix9yqgw iy27t9 . jm9owass
72 kg is taken to the Moon. What is its mass there?

  As a rocket moves away from the Earth's surface, the rocket'sukb* k g1xcmvpu*k;hpnb80a b 15,x0y weight

  A spaceship is traveling to the Moon. At what point is it xjd tt5d9yu2 ,l5uic m-q 2g5obeyond the pull of Earth's gravitmd-5yuqtct 9 u252, lixgjod 5y?

  Suppose a satellite were orbiting t cmc7w1cs8 s*ihe Earth just above the surface. What is its cents7 *w si81ccmcripetal acceleration?

  A hypothetical planet has a mass of half that of uszor74.menxpudu76l / f6-tthe Earth and a radius of twice that of theeus7 ro74zut 6 lp6-um./dx fn Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth?

  The acceleration of gravity on the Moon h: *2tt)d:x4 /eg-y 8 p zbzdjq* kgc2tzbcne3is one-sixth what it is on Earth. The radius of the Moon is one-fourth that of the Earth. zd3*b pgt8e:*-b )e:dx k4z2 tn2 cthc/g qzjy What is the Moon's mass compared to the Earth's?

  Two planets have the same surface gravity, but planet B h: +xtjfz. br) h xyj/vp;o82adas twice the radius of plajabo2ytr x8h/ x+.)pvfj : dz;net A. If planet A has mass m, what is the mass of planet B?

  Two planets have the same surface gravity, but planet B hacd x(otx2w89uz.eh1h s twice the mass of planet A. If planet A has radius r, what is the radius9 wueocthx hx.8 d1z2( of planet B?

  Consider a small satellite moving in a circular orbit (radsmvz kg.k+,7 efl-qy.e3 7 *fer/+lgmsj ;ctbius r) about a spherical plan;-s +qskk,. gger7+clyl m3./7fe*eb vtzmj fet (mass M). Which expression gives this satellite's orbital velocity?

  Satellite A has twice the mass of satellite B5 f+qqps5c w,j, and rotates in the same orbit. Compare the two satellite5q5 sw cj+f,pq's speeds.

  A person is standing onfg/ vkrt +-,a 94mnbhs)ouqa1 a scale in an elevator accelerating downward. Compare the read bqa+ ftnu4vm,o/kg)r1s-a9h ing on the scale to the person's true weight.

  Who was the first person to realize that the planets move in elliptical paths;zc1p:2x3ypwi/l(azy uy9jvf p3d l5 around the u/zc5jpwi1 d3zy:vylp2p3a ;x l yf9(Sun?

  The speed of Halley's Comet, while traveling in its elliptical orbit ark40xklm zi l),ound the Su4ik,0 zkx)ll mn,

  Let the average orbital r *vo /o:qvyb1jadius of a planet be R. Let the orbital period be T. What quantity is constant for all planets orbitinb1:v qyojvo*/ g the Sun?

  A planet is discovered to orbit around a star in the galaxy Andromeda, with th jp12 sfaxiiq062cal;)x ;c fne same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, comparexqn ac0f xa) i6jc;i s;221lpfd to the Earth's orbital period?

  The average distance from the Earth to the Sun is dw9ycsjt 3/7a ,x(rkdh efined as one "astronomical unit" (AU). An asteroid orbits the Sun in one-third of a year. What is the asteroid's average distance fr yr7cdax k 3/s(wj,9htom the Sun?

State Kepler's laws.l;bxwl3v9,lk flu) +y

  List the four fundamental forcy9 jd-x l*aux7es in nature.

  An object moves with a constant speed of 30 m/s on a circ tle x)8dp::8z/w)zjbbgs bu+zjdx89 ular track of radius 150 us8z+e w8b)pg::zjb xj)dt d98lbx/z m. What is the acceleration of the object?

  The maximum speed around a leaiyt4z.m2sk- .k pr:d3ht 8l wf rr;c2vel curve is 30.0 km/h. What is the maximum speed around a curve with twice w2tdr3k2ipz: -ta.hk rm;.4s lry 8c fthe radius? (Assume all other factors remain unchanged.)

  What is the centripetal acceleratm wu:2a57o4zmpr (jl xion of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 8.0 4m l7pujz :xraw( mo25m/s?

  A point on a wheel rotating at 5.00 rev/s is located 0.20/2so yr1c oa7 kq8rgo(0 m from the axis. What is the centrio7r 2koqa ro(1c8 gs/ypetal acceleration?

  How many revolutions per minute must a circular, rotating space s ,5p2g pm7xyqaf 32zpxze-+d qtation of radius 1000 m rotate to produce an a5yx2 d2+p pgemfz za7q3-,px qrtificial gravity of $9.80 \; m/s^2$?

  A motorcycle has a mass of 250 kg. It goes around a 13.7 m radius t.x1s7:2l ms dfoef bd 3n8bdv2 xuy3r.urn at 96.5 km/h. What is the centriplse.7sx o.bf1:3r bv3x uf28ymd2dnd etal force on the motorcycle?

  A 0.50-kg mass is attached to the end of a 1.0-m string. The ivb.cqfdj 3ojli * n;2ku,2/nsystem is whirled in a horizontal circular path. If the maximum tension thfk;n n .2u*b/23o jiildvc,qjat the string can withstand is 350 N. What is the maximum speed of the mass if the string is not to break?

  A stone, of mass m, is attached to a strong string and whirl;f/qb gfmx05led in a vertical circle of radius r. At the exact top 0/lm xf ;qfb5gof the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A stone, of mass m, is attached tg+g-eq1bd 1moo a strong string and whirled in a vertical circle of radius r. At the exact bo-ombd e gqg+11ttom of the path the tension in the string is 3 times the stone's weight. The stone's speed at this point is given by

  A jet plane flying 600 m/s experiences an acceleration oyb qw1lg+t4e8f 4g when pulling out of the dive. What is the radius of curvature of the loop in whi ewl14yqgbt+8ch the plane is flying?

  A pilot makes an outsiduyww; ai1l4abs5g9 n4 07yhh ee vertical loop (in which the center of the loop is beneath him) of radius 3200 m. At the top of his loop he is pushing down on his seat with only 1 ys47w; y h5nh9lba0eugaiw4 one-half of his normal weight. How fast is he going?

  The maximum force a pilot c, ofsg iu/f5fce0j 9p*an stand is about seven times his weight. What is the minimum radius of curvature that a jet plane's pilot, pulling out of a vertical dive, can tolerate at a speed opu/9fjfo if gs,*ec05f 250 m/s?

  A car traveling 20 m/s round4( x4 ubxc+jk18hjy ids an 80-m radius horizontal curve with the tires on the verge of slipping. How fast can this car round aijjc1h+y d x(xku84b4 second curve of radius 320 m? (Assume the same coefficient of friction between the car's tires and each road surface.)

  A car is negotiating a flat curve of radius 50 m / nrb8 0y0vbqpal4ba0with a speed of 20 m/s. The centripetal force providey 0rnblva0b 4b0q8ap/d by friction is $1.2 \times 10^{4} \; N$. What is the mass of the car?

  A car goes around a flat curve of radius 50 m at a speed of 14 m/s 4ckfxj*ixg zugz;a 0t7 ip(,7. What must be the minimum coeiz 7f7,kapu*4ix(j0g zgxct; fficient of friction between the tires and the road for the car to make the turn?

  A car is moving with a constant speed v around a level curve. The(f nlj* 7njiy1dd2m.v coefficient of friction between the tires and the road is 0.40. What is the minimum radius of the curve if the car is to stay on thdil nn(y1*fj7j . mdv2e road?

  What minimum banking angle is required for an Olympic bobsled to n;3p6n.ntw0; agfxfi vegotiate a 100-m radius turn at 35 m/s without skia 0ft ;n3n ;p6.wifvgxdding? (Ignore friction.)

  A horizontal curve on a bobsled run is banked at a qa2b28 co a:9u rec2 0h-d se/sl5umve$45^{\circ}$ angle. When a bobsled rounds this curve at the curve's safe speed (no friction needed to stay on the run), what is its centripetal acceleration?

  A frictionless curve of radius 1.u(8gv*mi ;czx baic4 00 m, banked at an angle of $45^{\circ}$, may be safely negotiated at a speed of

  A curve of radius 80 m is 8ja*dre zn:6kbanked at $45^{\circ}$. Suppose that an ice storm hits, and the curve is effectively frictionless. What is the safe speed with which to take the curve without either sliding up or down?

  A 175-kg ball on the end+ hs-(k 99k/-qsh3wauh)gj gvko+lnx of a string is revolving uniformly in a horizontal circle of radius wn khhgv9sk )lj9/u +(ag3x--o sq +kh0.500
m. The ball makes 2.00 revolutions in a second. (only fill in numerial value in the blanks)
(a) Determine the speed of the ball.    $m/s$
(b) Determine the ball's centripetal acceleration.    $m/s^2$
(c) Determine the force a person must exert on opposite end of the string.    $N$

  Starting from rest in the pit area, a race car acceleratooay9by0c.v 1es at a uniform rate to a speed of 45 m/s in 15 s, moving on a circular track of radio1 c0 yb.avoy9us 500 m. (only fill in numerical value in the blanks)
(a) Calculate the tangential acceleration.    $m/s^2$
(b) Calculate the radial acceleration when the instantaneous speed is equal to 30 m/s.    $m/s^2$

  The hydrogen atom cons ybp 7s01cg:uv n9wrp:ists of a proton of mass $1.67 \times 10^{-27} \; kg$ and an orbiting electron of mass $9.11 \times 10^{-31} \; kg$. In one of its orbits, the electron is $5.3 \times 10^{-11} \; m$ from the proton. What is the mutual attractive force between the electron and proton?

  What is the gravitational force on a 70-kg person standing on the Earth, due to os34f d,aiu 4mthe Mmu4 s 3dfoia,4oon? The mass of the Moon is $7.36 \times 10^{22} \; kg$ and the distance to the Moon is $3.82 \times 10^{8} \; m$.

  The gravitational attractive force between two masi l5 c,qngtsxh92 1am)ses is F. If the masses are moved to half of their initial distance, what is the gravitational attractivg5xnlht, i2m )aq19 cse force?

  For a spacecraft going from the Earth towta vsxdsv ./rox9 x6 mncz90./ard the Sun, at what distance from the Eart69so/na .tvrx 9xzvs/m d.cx0 h will the gravitational forces due to the Sun and the Earth cancel?
Earth's mass: Me = $5.98 \times 10^{24} \; kg$ the Sun's mass: Ms = $1.99 \times 10^{30} \; kg$
Earth-Sun distance: r = $1.50 \times 10^{11} \; m$

  The mass of the Moon 2tz b+5e. m(- kileofdis $7.4 \times 10^{22} \; kg$ and its mean radius is $1.75 \times 10^{3} \; km$. What is the acceleration due to gravity at the surface of the Moon?

  An astronaut goes out fo0 c8ebwmb ia1.+rl(r sr a "space-walk" at a distance above the Earth equal to the radius of the Earthm w(.rc08 b+sil1earb. What is her acceleration due to gravity?

  The radius of the Earth is R. At what distance above the Earth's surface wip;;3o;ilpn)k5yv hy yll the acc;kp3yhi ;)plo y v;ny5eleration of gravity be $4.9 \; m/s^2$?

  A satellite encircles Mars at a distancepeeb1o(5hje 9 above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Marho ee9( pej51bs, is

  At a distance of 14000 km from swht7 x 6/734mhizupte ome planet's center, the acceleration of gravity ist6 x4hew77tm/hpz 3u i $32 \; m/s^2$. What is the acceleration of gravity at a point 28000 km from the planet's center?

  An object weighs 432 N on the surface of the Eary*6lav .x bz 0u+,vxww are3r6th. The Earth has radius r. If the object is rai0b6y3*uwz+a,x rwer6vv xl .ased to a height of 3r above the Earth's surface, what is its weight?

  By how many newtons does the weight of a 100-kg person change when he godbm6 :t ,iika*x+3 (o epftq0kes from sea level to an altitude of 5000 m? (The meanx:iiad3e* obptmf t0 q,kk6(+ radius of the Earth is $6.38 \times 10^{6} \; m$.)

  The Earth has radius r. A satelli:.mdf* zas../ugh +oh jzl -hhte of mass 100 kg is at a point 3r above the Eardhga+ .lhzos.hfm : /.-zj h*uth's surface. What is the satellite's weight?

  A spherically symmetric planet0mf 9(.jh xvt8r g vyld,f/wk9 has four times the Earth's mass and twice its radius. If a jaf vf ljwv9d. x8t0/krg yh(m,9r of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

  During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, withz1vf;p*wiikj k68r jd9oq:dlg0-1 a p the Earth between the 0kwp9*6ji;g vq- l8z j11if drpk ad:oMoon and the Sun. The Moon has a mass of $7.36 \times 10^{22} \; kg$; the Earth has a mass of $5.98 \times 10^{24} \; kg$; and the Sun has a mass of $1.99 \times 10^{30} \; kg$. The separation between the Moon and the Earth is given by $3.84 \times 10^{8} \; m$; the separation between the Earth and the Sun is given by $1.496 \times 10^{11} \; m$.
(a) Calculate the force exerted on the Earth by the Moon, its magnitude is    $\times 10^{20} \; N$, its direction is  ----待选择----towardsaway from  the moon.
(b) Calculate the force exerted on the Earth by the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.
(c) Calculate the net force exerted on the Earth by the Moon and the Sun, its magnitude is    $\times 10^{22} \; N$, its direction is  ----待选择----towardsaway from  the Sun.

  A 2.10-kg brass ball is transp;o66 a((n gbypso-azeb s7k y6orted to the Moon.
(a) Calculate the acceleration due to gravity on the Moon.    $m/s^2$ (The radius of the Moon is $1.74 \times 10^{6} \; m$ and the mass of the Moon is $7.35 \times 10^{22} \; kg$)
(b) Determine the mass of the brass ball on the Earth    $kg$ and on the Moon    $kg$
(c) Determine the weight of the brass ball on the Earth    $N$
(d) Determine the weight of the brass ball on the Moon    $N$

  A satellite is in a low circular orbit about the Earth (i.e., it just skims sd,r2fq.a(oit4 z b,athe surface of the Earth). What is the speed of the sate,i,4o(d. a rfatq2bzs llite? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in a low circular orbit about the Earth (i.e. sig1 5d0sqo7ife,)su , it just skims the surface of the Earth). How long does it take to make one revsfissguodq,e1 70) 5 iolution around the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  A satellite is in circular orbit 230 km above the surface of the Earth. I1b , +hynoboc lz c13+qds2ts(4r,mbu8hx5g zt is observed to have a period of 89 min. What is the masssc,ub1 4h lb qstdzg+ro+ ,5z xhy321nmbc(8o of the Earth? (The mean radius of the Earth is $6.38 \times 10^{6} \; m$.)

  Europa, a moon of Jupizjkewiai 6xv635li) d 2( b0ukter, has an orbital diameter of $1.34 \times 10^{9} \; m$, and a period of 3.55 days. What is the mass of Jupiter?

  The innermost moon of Jupiter oh b7edn9mkk)zv-4a2 sab/o4a c9qn2 brbits the planet with a radius of $422 \times 10^{3} \; km$ and a period of
1.77 days. What is the mass of Jupiter?

  Two moons orbit a planet in nearly circular orbits. Moon A harica u3u/ux, 5.am 83b ixaoy/s orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete onac bo3u5my/x.3a r /8iuu,ixae orbit. How long does it take moon B to complete an orbit?

  The planet Jupiter is k2v/2unep+ s :s(mjcg $7.78 \times 10^{11} \; m$ from the Sun. How long does it take for Jupiter to orbit once about the Sun? (The distance from the Earth to the Sun is $1.50 \times 10^{11} \; m$.)

  It takes the planet Jupiter 12 y 3p1 0 pg)-gs0ejdbixlp,aeh4 ears to orbit the Sun once. What is the average distance from Jupiter to the Sun? (The distance from the Earth to the S1s,0e a pxh bjde iggl3p0)p4-un is $1.5 \times 10^{11} \; m$.)